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Buchsbaum Rings and Applications - An Interaction Between Algebra, Geometry and Topology (Paperback, Softcover reprint of the original 1st ed. 1986)
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Buchsbaum Rings and Applications - An Interaction Between Algebra, Geometry and Topology (Paperback, Softcover reprint of the original 1st ed. 1986)
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Da die algebraische Geometrie wesentlich vom Fundamentalsatz der
Algebra ausgeht, den man nur deshalb in der gewohnten aUgemeinen
Form aussprechen kann, weil man dabei die Vielfachheit der Losungen
in Betracht zieht, so mull man auch bei jedem Resultat der algebra
is chen Geometrie beim Zuriickschreiten die gemeinsame QueUe
wiederfinden. Das ware aber nicht mehr moglich, wenn man auf dem
Wege das Werkzeug verlore, welches den Fundamentalsatz fruchtbar
uud bedeutungsreich macht. Francesco Severi Abh. Math. Sem.
Hansischen Univ. 15 (1943), p. 100 This book describes interactions
between algebraic geometry, commutative and homo- logical algebra,
algebraic topology and combinatorics. The main object of study are
Buchsbaum rings. The basic underlying idea of a Buchsbaum ring is a
continuation of the well-known concept of a Cohen-Macaulay ring,
its necessity being created by open questions of algebraic geometry
and algebraic topology. The theory of Buchsbaum rings started from
a negative answer to a problem of David A. Buchsbaum. The concept
of this theory was introduced in our joint paper published in 1973.
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